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2 years ago

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1 answer:

6 0

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2, and the y-intercept of the function is located at (0,6)

<h3>The complete question</h3>

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)

<h3>How to determine the zeros?</h3>

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set the function to 0

-(x + 1)(x - 3)(x + 2) = 0

Divide both sides by - 1

(x + 1)(x - 3)(x + 2) = 0

Split

x + 1 = 0, x - 3 = 0 and x + 2 = 0

Solve for x

x = -1, x = 3 and x = -2

Hence, the zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2

<h3>How to determine the y-intercept?</h3>

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set x to 0

f(0) = -(0 + 1)(0 - 3)(0 + 2)

Evaluate

f(0) = 6

Hence, the y-intercept of the function is located at (0,6)

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Express the confidence interval (0.432, 0.52 in the form of ±<br> e.

lakkis [162]

For a known standard deviation, the confidence interval for sample size = n is
$(x-z \frac{ \sigma }{ \sqrt{n}},x+x \frac{ \sigma }{ \sqrt{n} } )$
where
x = average
n = sample size
$\sigma$ = stad. deviation
z = contant that reflects confidence interval

Let a = x
Let b = $z \frac{ \sigma }{ \sqrt{n} }$

From the given information,
a - b = 0.432 (1)
a + b = 0.52 (2)

Add (1) and (2): 2a = 0.952 => a = 0.476
Subtract (2) from (1): -2b = -0.088 => b = 0.044

Therefore, the confidence interval may be written as
(0.476 - 0.044, 0.476 + 0.044), or as
(0.476 $\pm$ 0.044)

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3 years ago

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alex41 [277]

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3 years ago

Read 2 more answers

Factor 125x^3-1000. Show your work.

Salsk061 [2.6K]

The left term is (5x)³.

The right term is 10³.

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2 years ago

5+3.2n-4.8n=simplify the expression

dmitriy555 [2]

Answer:

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Step-by-step explanation:

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3 years ago

What’s the circumference, to this problem ?

Dafna11 [192]

Answer:

The formula to get the circumference of a circle is $C=2*\pi * r$ but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this $C=d*\pi$ .

We can then input the value and we get that $C=1*\pi$ which then just narrows down to $C=3.142$ .

<u><em>Hope this helps! Let me know if you have any questions</em></u>

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2 years ago